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LCM of 470, 288, 780, 742

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 470, 288, 780, 742 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 470, 288, 780, 742. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 470,288,780,742

Given numbers are 470,288,780,742

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 470,288,780,742 is 326420640.

Find LCM of 470,288,780,742 with Prime Factorization


2 470, 288, 780, 742
2 235, 144, 390, 371
3 235, 72, 195, 371
5 235, 24, 65, 371
47, 24, 13, 371

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 5 x 47 x 24 x 13 x 371 = 326420640

Therefore, the lowest common multiple of 470,288,780,742 is 326420640.

LCM Formula to Find Lowest Common Multiple of 470,288,780,742

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

470 x 288 x 780 x 742 = 78340953600

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

470 : 1, 2, 5, 10, 47, 94, 235, 470

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,288,780,742, is 2.

Now, the common factors can be found like this.

470:2x 5x 47

288:2x 2x 2x 2x 2x 3x 3

780:2x 2x 3x 5x 13

742:2x 7x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 5 = 120

Therefore, the value for common factors is 120.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 78340953600/(2x120)

LCM = 78340953600/240

LCM = 326420640

Thus, we can understand that the LCM of 470,288,780,742 is 326420640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 470, 288, 780, 742

1. What is the LCM of 470, 288, 780, 742?

Answer: LCM of 470, 288, 780, 742 is 326420640.

2. How to calculate the LCM of 470, 288, 780, 742?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 470, 288, 780, 742.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.